The number 55120
55120 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13 × 53. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 53, 65, 80, 104 … 55120.
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How to work it out
- 1
What is special about 55120: a Harshad number: divisible by its digit sum 13.
- 2
55120 is composite. Its prime factorisation is
- 3
The divisors add up to 140616; without 55120 itself that is 85496, so 55120 is abundant (85496 is more than 55120). Euler's totient φ(55120) = 19968 numbers up to 55120 share no factor with it.
- 4
The digits of 55120 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55120 = 2^{4} \times 5 \times 13 \times 53 \]55120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 140616 |
| Euler totient φ(n) | 19968 |
| Square | 3038214400 |
| Cube | 167466377728000 |
| Square root | 234.776489 (= 4√3445) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.512 × |
55120 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and twenty |
| Binary (base 2) | 1101011101010000 |
| Octal (base 8) | 153520 |
| Hexadecimal (base 16) | D750 |
| Base 3 | 2210121111 |
| As time | 55120 seconds = 15 h 18 min 40 s |
Is 55120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55120 ÷ 2 = 27560) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55120 ÷ 4 = 13780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55120 ÷ 5 = 11024) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (55120 ÷ 8 = 6890) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55120 ÷ 10 = 5512) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55120 a prime number?
No. 55120 = × 5 × 13 × 53, so it is divisible by 2.
What are the factors of 55120?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 53, 65, 80, 104, 106, 130, 208, 212, 260, 265, 424, 520, 530, 689, 848, 1040, 1060, 1378, 2120, 2756, 3445, 4240, 5512, 6890, 11024, 13780, 27560, 55120.
What is 55120 in binary?
1101011101010000 (hexadecimal D750, octal 153520).
What is the square root of 55120?
About 234.7765, exactly 4√3445.
Is 55120 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 55120?
55120 is a Harshad number: divisible by its digit sum 13.